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Tema [17]
2 years ago
6

Tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
7 0

Given:

The two linear equations are:

x+y=5

y-2x=-4

To find:

Whether the ordered pair (3,2) is a solution of the given system of liner equations.

Solution:

We have,

x+y=5          ...(i)

y-2x=-4        ...(ii)

If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.

Putting x=3,y=2 in (i), we get

3+2=5

5=5

This statement is true. It means the point (3,2) satisfies the equation (i).

Putting x=3,y=2 in (ii), we get

2-2(3)=-4

2-6=-4

-4=-4

This statement is true. It means the point (3,2) satisfies the equation (ii).

Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.

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Sixty photos taken at a photo shoot are in black and white. If this represents 15 percent of the total number of photos taken, w
Art [367]

Answer:

D. 15×4/100×4 = 60/400

Step-by-step explanation:

First I figured out how many photos there are in total, which was by doing 60/.15, since only 15% of the total photos are in black and white. We can already cross out all possibilities that don't have the denominator 400, but we can go a step further by seeing which one is 60/400, or equal to 60/400, which is D. 15×4/100×4 = 60/400.

7 0
2 years ago
Please help
Harrizon [31]

Answer:

(-1/2, 3/4)

Step-by-step explanation:

Let's use the elimination by adding or subtracting method.  Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:

2(24x - 4y = -15) => 48x - 8y = -30

Now combine this result (this equation) with the first equation:

  2x + 8y = 5

+48x   -8y = -30

---------------------

 50x    =     - 25

Dividing both sides by 50, to isolate x, we get

x = -25/50 = -1/2.

Now substitute -1/2 for x in the first equation and solve the resulting equation for y:

  2x + 8y = 5

2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)

Dividing both sides of 8y = 6 by 8 leads to determining the value of y:

y = 6/8 = 3/4

The solution is (-1/2, 3/4).

3 0
2 years ago
ohn is interested in purchasing a multi-office building containing five offices. The current owner provides the following probab
Galina-37 [17]

Answer:

$28,875

Step-by-step explanation:

The given table is:

\left|\begin{array}{c|cccccc}$Number of Lease Offices&0&1&2&3&4&5\\$Probability&5/32&3/16&3/32&1/4&9/32&1/32\end{array}\right|

The expected probability is derived using the formula: \sum_{i=0}^{5}x_iP(x_i)

Therefore, for the given distribution,

Expected Probability

=(0*\frac{5}{32})+ (1*\frac{3}{16})+ (2*\frac{3}{32})+ (3*\frac{1}{4})+ (4*\frac{9}{32})+ (5*\frac{1}{32})\\=2.40625

If each yearly lease is $12,000

The Expected Yearly Lease for the Whole Building=2.40625 X 12000

=$28,875

4 0
3 years ago
Represent the set of numbers as decimals on the number line {5 3/10, 5 1/10, 5 and if you answer more than needed thank you
Alina [70]

Answer:

(0.53 > 0.51) both less than 1 while 5 is greater than both

Step-by-step explanation:

\frac{53}{10} = .53, \frac{51}{10} = .51. and 5

the number line has two sides, with the left side for negative numbers while the right side is for positive numbers.

             <u>                                                                                 </u>

              -5  -4  -3  -2  -1  -.53  -.51   0  .51 .53  1  2  3  4  5            

By studying the number line above all decimal numbers greater than 0 but less than 1 are from 0, .1, .2,.........,.98, .99, 1.00 which is also the same as 1 because all numbers greater than 1 has an invisible point at its right side like 2., 3. which also means 2, 3 while negative number are all less than 0

7 0
3 years ago
The diagram represents three statements about animals at the zoo: p, q, and r.
Butoxors [25]

Answer:

15 is the total number of animals for which (p ∨ q) ∧ r true.

Step-by-step explanation:

From the diagram it is clear that

p contains {2, 5, 8, 9}

q contains {2, 4, 7, 5}

r contains {2, 4, 6, 9}

p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.

Note: p ∨ q can not have duplicate animals

So,

p ∨ q = {2, 4, 5, 7, 8, 9}

(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.

As

p ∨ q = {2, 4, 5, 7, 8, 9}

r = {2, 4, 6, 9}

So,

(p ∨ q) ∧ r = {2, 4, 9}

As

2 + 4 + 9 = 15

Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.

Keywords: union, and operation, or operation

Learn more about union, and operation, or operation from brainly.com/question/13637539

#learnwithBrainly

8 0
3 years ago
Read 2 more answers
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